LEADER 04978nam 22014895 450 001 9910154743203321 005 20190708092533.0 010 $a1-4008-8232-X 024 7 $a10.1515/9781400882328 035 $a(CKB)3710000000631387 035 $a(MiAaPQ)EBC4738703 035 $a(DE-B1597)468033 035 $a(OCoLC)979970577 035 $a(DE-B1597)9781400882328 035 $a(EXLCZ)993710000000631387 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aSurface Area. (AM-35), Volume 35 /$fLamberto Cesari 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1957 215 $a1 online resource (612 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v343 311 $a0-691-09585-X 320 $aIncludes bibliography. 327 $tFrontmatter -- $tPREFACE -- $tCONTENTS -- $tCHAPTER I. INTRODUCTORY- CONSIDERATIONS -- $tCHAPTER II. LEBESGUE AREA -- $tCHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P -- $tCHAPTER IV. BV AND AC PLANE MAPPINGS -- $tCHAPTER V. THE FIRST THEOREM -- $tCHAPTER VI. THE CAVALIERI INEQUALITY -- $tCHAPTER VII. IDENTIFICATION OF LEBESGUE, GEÖCZE, PEANO AREAS -- $tCHAPTER VIII. GEOMETRICAL PROPERTIES AND THE SECOND THEOREM -- $tCHAPTER IX. THE REPRESENTATION PROBLEM -- $tCHAPTER X. THE REPRESENTATION OF GENERAL SURFACES AND THE THIRD THEOREM -- $tAPPENDIX A. A DIRECT PROOF OF A PROPERTY OF CONTINUOUS SURFACES -- $tAPPENDIX B. WEIERSTRASS INTEGRAL OVER A SURFACE -- $tBIBLIOGRAPHY -- $tSPECIAL SIGNS AND ABBREVIATIONS -- $tBackmatter 330 $aThe description for this book, Surface Area. (AM-35), Volume 35, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vno. 35. 606 $aSurfaces 610 $aAbsolute continuity. 610 $aAddition. 610 $aAdmissible set. 610 $aArc length. 610 $aAxiom. 610 $aAxiomatic system. 610 $aBearing (navigation). 610 $aBounded variation. 610 $aCalculus of variations. 610 $aCircumference. 610 $aCompact space. 610 $aComplex analysis. 610 $aConcentric. 610 $aConnected space. 610 $aContinuous function (set theory). 610 $aContinuous function. 610 $aCorollary. 610 $aCountable set. 610 $aCovering set. 610 $aCurve. 610 $aDerivative. 610 $aDiameter. 610 $aDifferentiable function. 610 $aDifferential geometry. 610 $aDirect proof. 610 $aDirichlet integral. 610 $aDisjoint sets. 610 $aEmpty set. 610 $aEquation. 610 $aEquicontinuity. 610 $aExistence theorem. 610 $aExistential quantification. 610 $aFunction (mathematics). 610 $aFunctional analysis. 610 $aGeometry. 610 $aHausdorff measure. 610 $aHomeomorphism. 610 $aHomotopy. 610 $aInfimum and supremum. 610 $aIntegral geometry. 610 $aIntersection number (graph theory). 610 $aInterval (mathematics). 610 $aIterative method. 610 $aJacobian. 610 $aLebesgue integration. 610 $aLebesgue measure. 610 $aLimit (mathematics). 610 $aLimit point. 610 $aLimit superior and limit inferior. 610 $aLinearity. 610 $aLine?line intersection. 610 $aLocally compact space. 610 $aMathematician. 610 $aMathematics. 610 $aMeasure (mathematics). 610 $aMetric space. 610 $aMorphism. 610 $aNatural number. 610 $aNonparametric statistics. 610 $aOrientability. 610 $aParameter. 610 $aParametric equation. 610 $aParametric surface. 610 $aPartial derivative. 610 $aPotential theory. 610 $aRadon?Nikodym theorem. 610 $aRepresentation theorem. 610 $aRepresentation theory. 610 $aRight angle. 610 $aSemi-continuity. 610 $aSet function. 610 $aSet theory. 610 $aSign (mathematics). 610 $aSmoothness. 610 $aSpace-filling curve. 610 $aSubset. 610 $aSummation. 610 $aSurface area. 610 $aTangent space. 610 $aTheorem. 610 $aTopological space. 610 $aTopology. 610 $aTotal order. 610 $aTotal variation. 610 $aUniform convergence. 610 $aUnit square. 615 0$aSurfaces. 676 $a516.36 700 $aCesari$b Lamberto, $040585 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154743203321 996 $aSurface Area. (AM-35), Volume 35$92786533 997 $aUNINA